The geometric mean is not defined when any observation is: MCQ with Answer and Explanation

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The geometric mean is not defined when any observation is:

A. Greater than 1

B. A fraction

C. Zero or negative

D. Positive

Answer: Option C

Solution (By JKSSB Mock Tests)

GM requires all values to be strictly positive; zero or negatives make it undefined.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

TFR is considered a better measure of fertility than CBR because it:

A. Includes male population

B. Eliminates the effect of age structure

C. Is simpler

D. Uses total population

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Correct Answer: Option B

Explanation:
TFR is a synthetic measure that is independent of the population's age composition.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Assertion (A): Gross Reproduction Rate (GRR) is always less than or equal to Total Fertility Rate (TFR). Reason (R): GRR considers only female births. Choose the correct option:

A. A is true, R is false

B. Both A and R are true, and R is the correct explanation of A

C. Both A and R are true, but R is not the correct explanation of A

D. A is false, R is true

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Correct Answer: Option B

Explanation:
GRR = TFR × (female proportion), so GRR ≤ TFR. R explains why.

This question belongs to: Accountancy and Statistics Statistics

Question #3

A box contains 5 defective and 15 non-defective items. Two items are drawn. The probability that both are non-defective is:

A. 1 - (5/20)²

B. 21/38

C. 15/20 × 14/19 = 21/38

D. (15/20)²

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Correct Answer: Option C

Explanation:
P(both non-defective) = (15/20)×(14/19) = 210/380 = 21/38.

This question belongs to: Accountancy and Statistics Statistics

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